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What is the exchange current density for a corroding iron electrode in a 0.1 M solution of Fe2+ ions at 25°C, given that the rate constant for the electrode reaction is 1.2 x 10^-9 cm/s and the standard reduction potential for Fe2+/Fe is -0.44 V?

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To calculate the exchange current density  i0  for the corroding iron electrode, we can use the Butler-Volmer equation. However, we need to first determine the transfer coefficient    and the number of electrons transferred  n  in the reaction. For the Fe2+/Fe redox couple, n = 2 electrons, and  is typically assumed to be 0.5.The standard rate constant  k0  can be calculated using the following equation:k0 = i0 /  n * F * C where F is the Faraday constant  96485 C/mol  and C is the concentration of Fe2+ ions  0.1 M .Rearranging the equation to solve for i0:i0 = k0 * n * F * CNow, we can plug in the given values:i0 =  1.2 x 10^-9 cm/s  * 2 *  96485 C/mol  * 0.1 Mi0 = 2.318 x 10^-5 A/cmSo, the exchange current density for the corroding iron electrode in a 0.1 M solution of Fe2+ ions at 25C is approximately 2.318 x 10^-5 A/cm.

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